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" If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 120
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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Annual Reports of the War Department, Τόμος 1,Μέρος 1

United States. War Department - 1901 - 894 σελίδες
...but one. Prove that the square described on the hypothenuse of a right-angled triangle Is equivalent to the sum of the squares described on the other two sides. Given the side of an equilateral triangle equal to 10 feet; find its area. Define " limit of a variable."...

Elements of Plane Geometry

Alan Sanders - 1901 - 260 σελίδες
...XI. THEOREM 199 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove BC? = U? + Jc" Proof. Describe squares on the three sides...

Notes of Lessons on the Herbartian Method: (based on Herbart's Plan)

M. Fennell - 1902 - 294 σελίδες
...I. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. (a) Right angle. (b) Triangle. .(«) Hypotenuse. • II. Presentation. i. Analysis of Enunciation....

Notes of Lessons on the Herbartian Method: (based on Herbart's Plan)

M. Fennell - 1902 - 292 σελίδες
...1. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. i (a) Right angle. (It) Triangle. 2. Definitions to / ; ' D- ,. , , , • , J \ (c) Right-angled triangle,...

Life at West Point: The Making of the American Army Officer: His Studies ...

Harrie Irving Hancock - 1902 - 340 σελίδες
...but one. Prove that, the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Given the side of an equilateral triangle equal to 10 feet; find its area. Define "limit of a variable."...

New Grammar School Arithmetic, Μέρος 2

John Henry Walsh - 1903 - 296 σελίδες
...squares A and B (Fig. 5). 430. The square described on the hypotenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 431. Written Exercises. Find the missing side of each of the following ten rightangled triangles :...

God and Nothing

William Wallace Handlin - 1903 - 330 σελίδες
...distances of the heavenly bodies by means of the triangle. The square described on the hypothenuze is equal to the sum of the squares described on the other two sides. A triangle formed by a point on the surface of the earth, its center and the sun, has a respectable...

Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - 1903 - 366 σελίδες
...55. EVOLUTION Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Draw a right-angled triangle, ABC, with the side BC 4 in., and the side AC 3 in.; then, the side AB...

Composition and Rhetoric

Maude Radford Warren - 1903 - 408 σελίδες
...it appear probable ment. that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides ; it is a different matter to demonstrate the proposition, to prove the statement. Such is the purpose...

Plane Geometry by the Suggestive Method

John Alton Avery - 1903 - 136 σελίδες
...equal area. THEOREM X 193. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, and let squares ACDX, BCRF, and ABLK be described on the hypo. AC, side BO,...




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